The Universe from a Single Particle II

• Published in: arXiv.org 2021-10
• Main Authors: Freedman, Michael, Modjtaba Shokrian Zini
• Format: Article
• Language: English
• Subjects: Broken symmetry; Decomposition; Hamiltonian functions; Hypotheses; Quantum mechanics; Qubits (quantum computing); String theory; Superconductivity; Tensors; Universe
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2108.12709

We continue to explore, in the context of a toy model, the hypothesis that the interacting universe we see around us could result from single particle (undergraduate) quantum mechanics via a novel spontaneous symmetry breaking (SSB) acting at the level of probability distributions on Hamiltonians (rather than on states as is familiar from both Ginzburg-Landau superconductivity and the Higgs mechanism). In an earlier paper [7] we saw qubit structure emerge spontaneously on \(\mathbb{C}^4\) and \(\mathbb{C}^8\), and in this work we see \(\mathbb{C}^6\) spontaneously decomposing as \(\mathbb{C}^2\otimes \mathbb{C}^3\) and very curiously \(\mathbb{C}^5\) (and \(\mathbb{C}^7\)) splitting off one (one or three) directions and then factoring. This evidence provides additional support for the broad hypothesis: Nature will seek out tensor decompositions where none are present. We consider how this finding may form a basis for the origins of interaction and ask if it can be related to established foundational discussions such as string theory.